On Certain Properties of Bipolar Fuzzy Supra Preopen Sets

Yıl 2022, Cilt: 11 Sayı: 4, 1152 - 1158, 31.12.2022

Banu Pazar Varol

https://doi.org/10.17798/bitlisfen.1196754

Öz

The goal of this paper is to investigate the certain properties of bipolar fuzzy supra preopen sets (BF supra preopen set). We introduce and study the concepts of bipolar fuzzy supra pre-interior (BF supra pre-interior) and bipolar fuzzy supra pre-closure (BF supra pre-closure) operators. Furthermore, we define new type of bipolar fuzzy supra continuous mapping based on the BF preopen sets.

Anahtar Kelimeler

Bipolar valued fuzzy set, BF supra topology, BF supra preopen set, BF supra pre-continuous mapping.

Kaynakça

• [1] L. Zadeh, Fuzzy sets, Information and Control vol.8, pp.338–353, 1965.
• [2] K. T. Atanassov, Intuitionistic fuzzy sets, Fuzzy sets and Systems, vol.20, pp.87-96, 1986.
• [3] L. Zadeh, The concept of a linguistic variable and its application to approximate reasoning-I, Inform. Sci. vol.8, pp.199–249, 1975.
• [4] W.L. Gau and D.J. Buehrer, Vague sets, IEEE Transactions on Systems, Man and Cybernetics, vol. 23, no.2, pp. 610-614, 1993.
• [5] W-R. Zhang, Bipolar fuzzy sets and relations: a computational framework for cognitive modeling 356 and multiagent decision analysis NAFIPS/IFIS/NASA'94, pp.305-309, 1994.
• [6] K. M. Lee, “Bipolar-valued fuzzy sets and their operations”, Proc. Int. Conf. on Intelligent Technologies Bangkok Thailand, pp. 307-312, 2000.
• [7] M. S. Anitha, K. L. Muruganantha and K. Arjunan, Notes on bipolar valued fuzzy subgroups of a group, The Bulletin of Society for Mathematical Services and Standards, vol.7, pp. 40-45, 2013.
• [8] B. Pazar Varol, An approach to bipolar fuzzy submodules, TWMS J. App. and Eng. Math., vol.11, No.1, pp. 168-175, 2021.
• [9] M. Azhagappan and M. Kamaraj, “Notes on bipolar valued fuzzy RW-closaed and bipolar valued fuzzy RW-open sets in bipolar valued fuzzy topological spaces”, International Journal 796 of Mathematical Archive vol.7, no. 3, pp. 30-36, 2016.
• [10] J. Kim, S. K. Samanta, P. K. Lim, J. G. Lee, K. Hur, Bipolar fuzzy topological spaces, Annals of Fuzzy Mathematics and Informatics, vol.17, no. 3, pp. 205-229, 2019.
• [11] A. S. Mashhour, A. A. Allam, F. S. Mahmoud and F.H. Khedr, “On Supra Topological spaces”, Indian J. Pure Appl. Math. vol. 14, no. 4, pp. 502-510, 1983.
• [12] M. E. Abd El-Monsef and A. E. Ramadan A. E, “On Fuzzy Supra Topological Spaces”, Indian J. Pure Appl. Math., vol.18, no.4, pp.322-329, 1987.
• [13] N. Turanlı, An overview of intuitionistic fuzzy supra topological spaces, Hacettepe Journal of Mathematics and Statistics, vol.32, pp. 17-26, 2003.
• [14] H. Malkoç and B. Pazar Varol, “Bipolar Fuzzy Supra Topological Spaces”, Sakarya University Journal of Science, vol.26, no.1, pp. 156-168, 2022.
• [15] A. S. Mashhour et al., “On precontinuous and weak precontinuous mappings”, Proc. Math. Phys. Soc. Egypt., vol. 53, pp.47– 53, 1982.
• [16] M. K. Signal and Niti Rajvanshi, “Fuzzy preopen sets and preseparation axioms”, Fuzzy Sets and Systems, vol.44, pp. 273-281, 1991.
• [17] O.R. Sayed, “Supra preopen sets and Supra precontinuity on topological spaces”, Scientific Studies and Research, Series Mathematics and Informatics, vol.20, no.2, pp.79-88, 2010.
• [18] J. Srikiruthika and A. Kalichelvi, “Fuzzy Supra Preopen Sets”, Global Journal of Pure and Applied Mathematics, vol. 14, no.1, pp. 57-66, 2018.
• [19] K. M. Lee, “Comparison of interval-valued fuzzy sets, intuitionistic fuzzy sets and bipolar- valued fuzzy sets”, J. Fuzzy Logic Intelligent Systems vol.14, pp.125-129, 2004.